Henry and Ryan gave away the same number of marbles. Henry gave away
35 of his marbles while Ryan gave
59 of his marbles away. Given that Henry had 16 marbles less than Ryan at first, how many marbles did Henry have at first?
| |
Henry |
Ryan |
| Before |
5x5 =
25 u |
9x3 =
27 u |
| Change |
- 3x5 =
- 15 u |
- 5x3 =
- 15 u |
| After |
2x5 =
10 u |
4x3 =
12 u |
The number of marbles that Henry and Ryan gave away is the same. Make the number of marbles that Henry and Ryan gave away the same. LCM of 3 and 5 is 15.
Number of marbles that Henry had at first = 25 u
Number of marbles that Ryan had at first = 27 u
Number of marbles that Henry had less than Ryan at first
= 27 u - 25 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of marbles that Henry had at first
= 25 u
= 25 x 8
= 200
Answer(s): 200
